200+200+200+200+200+200+200+200+200
        
                    
             
        
        
        
Answer:
The prism is 3 by 3 by 1.5.
Step-by-step explanation:
The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.
The volume's prism is found using V = l*w*h. Substitute and simplify.
13.5 = x*x*1/2x
13.5 = 1/2 x^3
27 = x^3
3 = x
The prism is 3 by 3 by 1.5.
 
        
             
        
        
        
Answer:
 a = π n for n element Z
Step-by-step explanation:
Solve for a:
sec(a) + tan(a) = sec(a) - tan(a)
Subtract sec(a) - tan(a) from both sides:
2 tan(a) = 0
Divide both sides by 2:
tan(a) = 0
Take the inverse tangent of both sides:
Answer:  a = π n for n element Z
 
        
             
        
        
        
Answer:
5.236 units
Step-by-step explanation:
The relation between r, θ and arc length ( l ) is,
l = rθ
l = 1 * 5π / 3
( The value of π = 3.14 approximately )
5π = 5 x 3.14 = 15.7
l = 1 * 5π / 3
 = 5π / 3
 = 15.7/3
l = 5.236 units
Note : -
Arc length is denoted by " l ".
 
        
             
        
        
        
It should be the answers c